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Irina-Kira [14]
3 years ago
13

PEOPLE are waiting in line for a theater premiere.Every 6th person in line will receive a theater ticket.Every 8th person in lin

e will receive a gift card for $30.Which person will be the first to receive both prizes?
Mathematics
2 answers:
Law Incorporation [45]3 years ago
6 0
48. This is so because it's a simple multiplication problem. All you had to do was multiply 6 by 8 to get 48.
Hope this helps!
stich3 [128]3 years ago
6 0
This is a perfect example of a problem asking for the LCM (Least Common Factor). If every 6th person in line gets a prize, and every 8th person gets a prize, then those are the two numbers you have to use to find the LCM. Now let's list the multiples of both numbers:

6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

What is the first number you see that both numbers (6,8) have? I see 24 as the first number. So, in the line, the first person to get both the theater ticket and the gift card of $30 will be the 24th one. Hope this helps! :D
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|x+1| = 1/5x+1<br> .......................
Mademuasel [1]

Answer:

x=0, -5/3

Step-by-step explanation:

3 0
3 years ago
On a cold winter moming in Colorado, the outdoor temperature was 5 degrees Fahrenheit at sunrise For the next sex hours the temp
Temka [501]

Answer: 6

Step-by-step explanation:

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8 0
2 years ago
Find an expression for a cubic function f if f(4) = 96 and f(-4) = f(0) = f(5) = 0. Part 1 of 4 A cubic function generally has t
Bezzdna [24]

Given a polynomial p(x) and a point x_0, we have that

p(x_0) = 0 \iff (x-x_0) \text{\ divides\ } p(x)

We know that our cubic function is zero at -4, 0 and 5, which means that our polynomial is a multiple of

(x+4)(x)(x-5) = x(x+4)(x-5)

Since this is already a cubic polynomial (it's the product of 3 polynomials with degree one), we can only adjust a multiplicative factor: our function must be

f(x) = ax(x+4)(x-5),\quad a \in \mathbb{R}

To fix the correct value for a, we impose f(4)=96:

f(4) = 4a(4+4)(4-5) = -32a = 96

And so we must impose

-32a=96 \iff a = -\dfrac{96}{32} = -3

So, the function we're looking for is

f(x) = -3x(x+4)(x-5)=-3x^3+3x^2+60x

4 0
3 years ago
Can someone explain to me how to do this? I just don't get it.
Maksim231197 [3]

Answer:

x=130

Step-by-step explanation:

triangle=180

180-34-96=50

line=180

180-50=130

7 0
2 years ago
Help please will be marked as brainliest if correct
Archy [21]

Answer:

h = 10 bc 4.7 x 10 = 47

f = 36 bc 6 x 36 = 216

g = 3.5 bc 3.5 + 1.6 = 5.1

unlock number equation = f - g x h or 36 - 3.5 x 10

unlock number: 1

8 0
2 years ago
Read 2 more answers
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